en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8^{5/3})^{1/5}

Solution

simplify

(8^{\frac{5}{3}})^{\frac{1}{5}}

Solution

2

Solution steps

(8^{\frac{5}{3}})^{\frac{1}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 8^{\frac{5}{3} \cdot \frac{1}{5}}

Cross-cancel:

5

= 8^{\frac{1}{3}}

Factor the number:

8 = 2^{3}

= (2^{3})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{3 \cdot \frac{1}{3}}

3 \cdot \frac{1}{3} = 1

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

Popular Examples

factor 5ab-8abc factor

5 ab - 8 ab c

7(-2k+4)-6=7k-20

7 (- 2 k + 4) - 6 = 7 k - 20

- 4 + y < - 8

7 < 3.5 k

factor 81-4x^2 factor

81 - 4 x^{2}

Frequently Asked Questions (FAQ)

What is (8^{5/3})^{1/5} ?
The solution to (8^{5/3})^{1/5} is 2